4 papers
math.NT2021
Likes a point of view on natural numbers, II
Edward Tutaj
In this paper we continue our research on the concept of liken. This notion has been defined as a sequence of non-negative real numbers, tending to infinity and closed with respect…
math.FA2018
Some particular norm in the Sobolev space
Edward Tutaj
This paper is a continuation of the recent paper of the author, where a certain reproducing kernel Hilbert space was constructed. The norm in is…
math.FA2014
A way from the isoperimetric inequality in the plane to a Hilbert space
Edward Tutaj
We will formulate and prove a generalization of the isoperimetric inequality in the plane. Using this inequality we will construct an unitary space - and in consequence - an isomor…
math.NT2014
Prime numbers with a certain extremal type property
Edward Tutaj
The convex hull of the subgraph of the prime counting function is a convex set, bounded from above by a graph of some piecewise affine function $x\rightarrow ε(…